a^2-5ag-50g^2=0

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Solution for a^2-5ag-50g^2=0 equation: 


Simplifying
a2 + -5ag + -50g2 = 0

Reorder the terms:
-5ag + a2 + -50g2 = 0

Solving
-5ag + a2 + -50g2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -10g)(a + 5g) = 0


Subproblem 1
Set the factor '(a + -10g)' equal to zero and attempt to solve:

Simplifying
a + -10g = 0

Solving
a + -10g = 0

Move all terms containing a to the left, all other terms to the right.

Add '10g' to each side of the equation.
a + -10g + 10g = 0 + 10g

Combine like terms: -10g + 10g = 0
a + 0 = 0 + 10g
a = 0 + 10g
Remove the zero:
a = 10g

Simplifying
a = 10g

Subproblem 2
Set the factor '(a + 5g)' equal to zero and attempt to solve:

Simplifying
a + 5g = 0

Solving
a + 5g = 0

Move all terms containing a to the left, all other terms to the right.

Add '-5g' to each side of the equation.
a + 5g + -5g = 0 + -5g

Combine like terms: 5g + -5g = 0
a + 0 = 0 + -5g
a = 0 + -5g
Remove the zero:
a = -5g

Simplifying
a = -5g
Solution
a = {10g, -5g}

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